550 AP Calculus AB & BC Practice Questions by Princeton Review

By Princeton Review

THE PRINCETON evaluate will get effects. Get additional education for a good AP Calculus AB & BC rating with 550 additional perform questions and answers. This publication variation has been optimized for electronic examining with cross-linked questions, solutions, and explanations.

Practice makes perfect--and The Princeton Review's 550 AP Calculus AB & BC perform Questions provides every little thing you want to paintings your solution to the pinnacle. within, you'll locate counsel and techniques for tackling and overcoming tough questions, plus all of the perform you must get the rating you want.

Inside The ebook: the entire perform and methods You Need

2 diagnostic exams (one each one for AB and BC) that can assist you determine components of improvement
2 complete perform tests (one each one for AB and BC)
• Over three hundred extra perform questions
Step-by-step thoughts for either multiple-choice and free-response questions
Practice drills for every proven subject: Limits, services and Graphs, Derivatives, Integration, Polynomial Approximations, and Series
Answer keys and specific factors for every drill and attempt question
Engaging information that can assist you significantly determine your development

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Extra resources for 550 AP Calculus AB & BC Practice Questions

Example text

Are you telling me I can’t use it on the AP test? Sorry, but you can’t. By the way, I shudder to think about how the toenail clippings were put to use. com detailed explanation. 8 PART I: AP Calculus AB & BC Basics ................................................................. Only in the four listed circumstances can you use the calculator to reach an answer. For instance, most calculators can find the maximum or minimum value of a function based on the graph, but you cannot use a calculator as your justification on a problem such as this.

The graph of h(x) 5 2x2 2 3, with no restriction, has two roots. reverse ordered pairs, h21 SÎ D S Î D S ÎD S ÎD 3 ,0 . Because inverse functions 2 3 3 must include the points 0, and 0,2 . If this 2 2 Easily found, the two roots are 3 ,0 2 and 2 were allowed, h21 would have two outputs for the domain element 0 and, therefore, could not be a function. The visual test used to ensure that a function has an inverse is called the horizontal line test, and it works much like the vertical line test. If any horizontal line drawn through a function graph intersects the graph at more than one place, the function cannot have an inverse.

Solution: The graph begins as the parabola x2, but once x 5 21, the new rule takes over, and the graph becomes the horizontal line y 5 2. This line stops, in turn, at x 5 2. The function is undefined between x 5 2 and x 5 3, but for all x . 3, the line 2x 2 4 gives the correct outputs. Note: If you didn’t recognize that y 5 x2 is a parabola, that’s OK (for now). Later in the chapter, we discuss how to recognize these graphs. h(22) 5 (22)2 5 4, since 22 falls within the definition of the first of the three rules.

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